A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
A
105
B
27
C
15
D
12
E
7
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
Let x represent the intersection
34 - x + 22 - x + x = 49
- x = 49 - 56; x = 7
Source: Myschool Past Questions Archive (Record #23856)